Pith Number

pith:OQQYQOU3

pith:2017:OQQYQOU3B3ANWMOOZHB5VH2VFH

not attested not anchored not stored refs pending

Trimming of metric spaces and the tight span

Vladimir Turaev

arxiv:1711.06638 v1 · 2017-11-17 · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OQQYQOU3B3ANWMOOZHB5VH2VFH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:30:18.351030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7421883a9b0ec0db31cec9c3da9f5529ef54456c6c4244da08901814935169bc

Aliases

arxiv: 1711.06638 · arxiv_version: 1711.06638v1 · doi: 10.48550/arxiv.1711.06638 · pith_short_12: OQQYQOU3B3AN · pith_short_16: OQQYQOU3B3ANWMOO · pith_short_8: OQQYQOU3

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/OQQYQOU3B3ANWMOOZHB5VH2VFH \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7421883a9b0ec0db31cec9c3da9f5529ef54456c6c4244da08901814935169bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8f4461c9d8006c620ce03ac8a5a1d24a1e5385d4fed798358e24331246fe0ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-11-17T17:25:25Z",
    "title_canon_sha256": "89a854ba7c2eb174b8d6129a82ba8c929d854aa76f9f7f758462ea0fac36a6ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.06638",
    "kind": "arxiv",
    "version": 1
  }
}